Details

Time bar (total: 7.8s)

analyze6.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (13.4%)

Results
1.0s8256×body256valid
1.0ms11×body256invalid
Bogosity

preprocess65.0ms (0.8%)

Algorithm
egg-herbie
Rules
448×fma-def
400×associate--l-
288×associate--r-
258×associate-+l-
216×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
12133
22733
33833
46033
58733
612833
721133
839333
964933
1093733
11124533
12177333
13220533
14270233
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify60.0ms (0.8%)

Algorithm
egg-herbie
Rules
448×fma-def
400×associate--l-
288×associate--r-
258×associate-+l-
216×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
12133
22733
33833
46033
58733
612833
721133
839333
964933
1093733
11124533
12177333
13220533
14270233
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

eval0.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 45 to 34 computations (24.4% saved)

series4.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms
x
@0
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@inf
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite111.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1636×associate-/r*
1146×associate-/l*
980×*-commutative
978×associate-/r/
538×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
121269
2285169
Stop Event
node limit
Counts
3 → 151
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Outputs
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simplify89.0ms (1.1%)

Algorithm
egg-herbie
Rules
1548×associate-*r/
1304×associate-*l/
636×+-commutative
508×associate-+r+
430×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04177007
111026459
241936249
Stop Event
node limit
Counts
179 → 271
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 -1 x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) (-.f64 x 1)))
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (-.f64 (*.f64 x x) (-.f64 x 1)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (-.f64 (*.f64 x x) (-.f64 x 1)))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 x (*.f64 x 1/2))) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
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(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 (fma.f64 x x (neg.f64 x)) 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (pow.f64 x 3/2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (hypot.f64 1 (pow.f64 x 3/2)))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

eval98.0ms (1.3%)

Compiler

Compiled 5581 to 4317 computations (22.6% saved)

prune42.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2656271
Fresh000
Picked011
Done000
Total2657272
Error
0b
Counts
272 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
0.0b
(*.f64 2 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
0.7b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
1.1b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 184 to 152 computations (17.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
0.0b
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))
0.0b
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))
0.0b
(/.f64 (-.f64 -1 x) (+.f64 x -1))
Compiler

Compiled 60 to 47 computations (21.7% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))
0.0ms
x
@inf
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))
0.0ms
x
@0
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
0.0ms
x
@-inf
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))
0.0ms
x
@inf
(/.f64 (-.f64 -1 x) (+.f64 x -1))

rewrite99.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1362×associate-/l*
1208×associate-/r/
674×associate-/l/
664×distribute-rgt-in
614×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012104
126092
2346792
Stop Event
node limit
Counts
4 → 233
Calls
Call 1
Inputs
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (/.f64 -1 (-.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (neg.f64 x) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (*.f64 (neg.f64 x) 1) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (neg.f64 x)) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) x) (*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 x 1)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) 1) (*.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) (/.f64 -1 (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (-.f64 -1 x) (fma.f64 x x -1))) (*.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (/.f64 (-.f64 -1 x) (+.f64 -1 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1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))))

simplify135.0ms (1.7%)

Algorithm
egg-herbie
Rules
980×associate-+r+
862×+-commutative
674×associate-*r*
668×*-commutative
624×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063111831
1173511187
2667111139
Stop Event
node limit
Counts
281 → 435
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
1
(+.f64 1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
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(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
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(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(pow.f64 (sqrt.f64 -1) 2)
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(+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)))))
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(sqrt.f64 -1)
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(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
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(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
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(+.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 -1 x)))))
(+.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (/.f64 -1 (-.f64 1 x)) (neg.f64 x)))
(+.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 (neg.f64 x) 1)))
(+.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (neg.f64 x) (/.f64 -1 (-.f64 1 x))))
(+.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (*.f64 (neg.f64 x) 1) (/.f64 -1 (-.f64 1 x))))
(+.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) (/.f64 -1 (+.f64 -1 x)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (neg.f64 x)) (/.f64 -1 (+.f64 -1 x)))
(+.f64 (*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) x) (*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) 1))
(+.f64 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 x 1)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) 1) (*.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1))
(+.f64 (*.f64 (neg.f64 x) (/.f64 -1 (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))
(+.f64 (*.f64 x (/.f64 (-.f64 -1 x) (fma.f64 x x -1))) (*.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x x -1))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3)))))
(+.f64 (*.f64 (+.f64 x 1) (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3)))))
(-.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (+.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 1)
(*.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(*.f64 (-.f64 -1 x) (/.f64 -1 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1)
(*.f64 1 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))
(*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (+.f64 -1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 -1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))
(*.f64 (/.f64 -1 (+.f64 -1 x)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 -1 (+.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 x))) (/.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 -1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (+.f64 -1 x))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (*.f64 (-.f64 -1 x) (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 -1 x) (fma.f64 x x (+.f64 x 1))))
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(/.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) (/.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4))))
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (/.f64 -1 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 -1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (+.f64 -1 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4))))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (/.f64 -1 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1)
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (cbrt.f64 (-.f64 -1 x)))))
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x))))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2))) (/.f64 1 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 -1 x)))))
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (/.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 1 (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(/.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)) (/.f64 -1 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (/.f64 -1 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (+.f64 -1 x))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 1 (neg.f64 (sqrt.f64 (+.f64 -1 x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (*.f64 -1 (sqrt.f64 (+.f64 -1 x))))
(/.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2)) 1/2) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1/2)))
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 1 (/.f64 x -1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (/.f64 -1 x) x)) (/.f64 x -1)))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (/.f64 -1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (/.f64 -1 x) x)) (/.f64 x -1))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(-.f64 (+.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(-.f64 (+.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
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(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) 2)
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3/2))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))) 1/2))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (-.f64 1 x))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(atan.f64 (-.f64 1 x))
0.0ms
x
@-inf
(atan.f64 (-.f64 1 x))
0.0ms
x
@inf
(atan.f64 (-.f64 1 x))

rewrite51.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1384×add-sqr-sqrt
1368×*-un-lft-identity
1270×add-cube-cbrt
1258×add-cbrt-cube
1248×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114011
2167411
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))))

simplify60.0ms (0.8%)

Algorithm
egg-herbie
Rules
1136×associate-/r*
924×*-commutative
688×associate-*r/
634×associate-*r*
496×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040220
177220
2372220
31698220
43972220
55891220
Stop Event
node limit
Counts
20 → 18
Calls
Call 1
Inputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
Outputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(atan.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(atan.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(atan.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (-.f64 1 x))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))
0.0b
(atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x))))
Compiler

Compiled 51 to 35 computations (31.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x))))
0.0ms
x
@inf
(-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))
0.0ms
x
@0
(atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x))))
0.0ms
x
@inf
(atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x))))
0.0ms
x
@-inf
(-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))

rewrite76.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1086×*-commutative
926×associate-*r/
764×distribute-lft-in
742×distribute-rgt-in
678×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
123854
2313654
Stop Event
node limit
Counts
2 → 110
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x))))
(-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x -1) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 x) (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x -1) (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (neg.f64 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (neg.f64 (*.f64 (*.f64 x x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 x x) x) (+.f64 1 (*.f64 x 1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (+.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x (*.f64 x (*.f64 x 1/2))))))) (/.f64 1/8 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x (*.f64 x (*.f64 x 1/2))))) (pow.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 x) 0) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))) 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simplify92.0ms (1.2%)

Algorithm
egg-herbie
Rules
1382×associate-+l+
1234×associate-+r+
970×associate-*r/
690×associate--r+
590×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03107230
19116626
240876622
Stop Event
node limit
Counts
134 → 198
Calls
Call 1
Inputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(+.f64 1 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 x (*.f64 x 1/2))))
(+.f64 1 (+.f64 (*.f64 x -1) (*.f64 x (*.f64 x 1/2))))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 x (*.f64 x 1/2))))
(+.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 x (*.f64 x 1/2))))
(+.f64 1 (-.f64 (neg.f64 x) (*.f64 (*.f64 x x) -1/2)))
(+.f64 1 (-.f64 (*.f64 x -1) (*.f64 (*.f64 x x) -1/2)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 x x) -1/2)))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (*.f64 x x) -1/2)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))
(+.f64 (-.f64 1 x) (neg.f64 (*.f64 (*.f64 x x) -1/2)))
(+.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) 1)
(+.f64 (neg.f64 x) (+.f64 (neg.f64 (*.f64 (*.f64 x x) -1/2)) 1))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (neg.f64 x))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (*.f64 x -1))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)
(+.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 x x) x) (+.f64 1 (*.f64 x 1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(+.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x (*.f64 x (*.f64 x 1/2))))))) (/.f64 1/8 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x (*.f64 x (*.f64 x 1/2))))) (pow.f64 (*.f64 x x) 3))))
(+.f64 (-.f64 (-.f64 1 x) 0) (*.f64 x (*.f64 x 1/2)))
(*.f64 1 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) x) (*.f64 x (*.f64 x 1/2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))) (-.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (+.f64 x (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (*.f64 x (*.f64 x 1/2)))))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (/.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))) (/.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))))) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (*.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)))))) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 1 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))))) 1) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) 1) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) 1) (neg.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) 1) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) 1) (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
Outputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 x (+.f64 -1 (*.f64 1/2 x)))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 x (+.f64 -1 (*.f64 1/2 x)))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) 1)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(*.f64 1 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(*.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 x (+.f64 -1 (*.f64 1/2 x))) 3))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)) 2) (cbrt.f64 (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) 1))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) 2) (cbrt.f64 (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)) 2) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 4)) (*.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 4)) (*.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 4)) (*.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2) 3)) (*.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2) (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 4)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 6)) (*.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2) (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 6)) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2) (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 4))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 6)) (*.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 6)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) 1)) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 6)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (*.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3) (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3) 3)) (+.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3) (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 6))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 3)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 6)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 3)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 6)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) 1) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2)) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2)) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2)) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2)) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 2)) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2)) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) 1) (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (+.f64 -1 (*.f64 1/2 x))) 3)) (+.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (+.f64 -1 (*.f64 1/2 x))) 3)) (+.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (+.f64 -1 (*.f64 1/2 x))) 3)) (+.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1))
(pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 1)
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2)
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3)
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(pow.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 3) 1/3)
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)) 2))
(fabs.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(fabs.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(log.f64 (exp.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) 3))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(exp.f64 (log1p.f64 (neg.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)))))
(exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 (*.f64 1/2 x)))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(fma.f64 x (*.f64 1/2 x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
0.0b
(atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))
0.0b
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
Compiler

Compiled 80 to 51 computations (36.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
1.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
0.0ms
x
@-inf
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
0.0ms
x
@-inf
(atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))
0.0ms
x
@inf
(atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))

rewrite88.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1742×associate-*r/
1372×associate-*l/
448×associate-+l+
328×+-commutative
324×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014103
131391
2424191
Stop Event
node limit
Counts
3 → 144
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
(atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
Outputs
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simplify111.0ms (1.4%)

Algorithm
egg-herbie
Rules
1458×associate-/r*
812×+-commutative
728×associate--l+
604×associate-+l-
580×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040810484
111089512
250009488
Stop Event
node limit
Counts
180 → 247
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0)
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(+.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 1)
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))
(/.f64 (*.f64 x (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 x (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) 1/4) 1/4)) (-.f64 (*.f64 x -1/2) 1/2))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 1 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3))) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) 1/4) (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 x x)) (neg.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) 1) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) 1) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) 1) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) x) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) x) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(*.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 x 1))
(-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 0)
(-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) x)
(-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (-.f64 1 (+.f64 1 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (+.f64 1 (-.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 1)
(-.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)) 1))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))) 1))
(-.f64 (+.f64 2 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x))))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))))
(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 0) x)
(*.f64 1 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)) (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) 1) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) (*.f64 x x)) (+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2))) (neg.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) 1)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) (*.f64 x x))) (+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)))) (neg.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)))) (neg.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)) 1) (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)) 1) (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) 1) 1) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) (*.f64 x x)) 1) (+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2))) 1) (neg.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2))) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))) (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))) (+.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))))) (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))))
(pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(fma.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 1)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 1)
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 1/2 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 1/2 x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
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(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))))) (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 1)))) (-.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 6))) (-.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 6)) (*.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) -1) x) 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 6)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 -1 x)) 1)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (+.f64 x 1)))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3) 3)) (/.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 6)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 1))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3) 3)) (*.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 6)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) -1) x) 1)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3) 3)) (*.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 6)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) 3)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 -1 x)) 1)))
(pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 3) 1/3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 2))
(fabs.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(log.f64 (exp.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 3))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(exp.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)))
(exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 1))
(exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(fma.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
0.0b
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
Compiler

Compiled 64 to 51 computations (20.3% saved)

series4.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
1.0ms
x
@inf
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
0.0ms
x
@0
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
0.0ms
x
@-inf
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
0.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)

rewrite74.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1568×associate-*l/
1542×associate-/r*
1098×*-commutative
1058×associate-/l*
276×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01379
128575
2356075
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8)))))) (#(struct:change #<rule 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simplify165.0ms (2.1%)

Algorithm
egg-herbie
Rules
1372×distribute-lft-in
1206×associate-/r/
892×associate-+r+
856×fma-def
746×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02694673
15484293
216364129
351924129
Stop Event
node limit
Counts
117 → 175
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 x)) 1) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 -1 (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 -1 (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2)) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 1 1/4))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(fabs.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(exp.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 1/2 x) x)) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (*.f64 1/2 x) x)) x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/8)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) 1/2) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) (/.f64 (pow.f64 x 3) 1/2))))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (*.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)))
(fma.f64 -3/16 (pow.f64 x 3) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1)))
(fma.f64 (pow.f64 x 3) -3/16 (fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -3/16 (fma.f64 x -1/2 1)))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (pow.f64 -1 1/4))
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x)))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 1/8 (/.f64 (pow.f64 -1 1/4) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x))))
(+.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x)))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (/.f64 (pow.f64 -1 1/4) (pow.f64 x 3)) (fma.f64 1/8 (/.f64 (pow.f64 -1 1/4) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x)))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x))) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x))) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 1/8 (*.f64 x x)))))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (pow.f64 -1 1/4))
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x)))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 1/8 (/.f64 (pow.f64 -1 1/4) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x))))
(+.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x)))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (/.f64 (pow.f64 -1 1/4) (pow.f64 x 3)) (fma.f64 1/8 (/.f64 (pow.f64 -1 1/4) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x)))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x))) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x))) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 1/8 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8)))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
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(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 1)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 1 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(fabs.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(exp.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 1/4) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)

eval795.0ms (10.2%)

Compiler

Compiled 31771 to 24133 computations (24% saved)

prune500.0ms (6.4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New123061236
Fresh101
Picked101
Done055
Total1232111243
Error
0b
Counts
1243 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
1.1b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
1.1b
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))))
0.7b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
1.1b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.7b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)))
0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
61.2b
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 201 to 171 computations (14.9% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x)))))
0.0b
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))
0.0b
(*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))
0.0b
(/.f64 -1 (-.f64 1 x))
Compiler

Compiled 75 to 61 computations (18.7% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x)))))
0.0ms
x
@inf
(/.f64 -1 (-.f64 1 x))
0.0ms
x
@0
(/.f64 -1 (-.f64 1 x))
0.0ms
x
@-inf
(/.f64 -1 (-.f64 1 x))
0.0ms
x
@inf
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))

rewrite97.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1200×associate-/r*
760×distribute-rgt-in
710×distribute-lft-in
680×associate-/r/
666×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013112
127998
2353382
Stop Event
node limit
Counts
4 → 225
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))
(atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x)))))
Outputs
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simplify189.0ms (2.4%)

Algorithm
egg-herbie
Rules
798×+-commutative
766×associate-+r+
676×associate-*r*
630×associate-/l*
620×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06249367
117958375
272508375
Stop Event
node limit
Counts
273 → 373
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) 1) (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) x) (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) 1))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) x))
(+.f64 (*.f64 1 (/.f64 -1 (-.f64 1 (*.f64 x x)))) (*.f64 x (/.f64 -1 (-.f64 1 (*.f64 x x)))))
(+.f64 (*.f64 x (/.f64 -1 (-.f64 1 (*.f64 x x)))) (*.f64 1 (/.f64 -1 (-.f64 1 (*.f64 x x)))))
(+.f64 (*.f64 1 (/.f64 -1 (-.f64 1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x x) (/.f64 -1 (-.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 -1 (-.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 -1 (-.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 x x)) (/.f64 -1 (-.f64 1 (pow.f64 x 3)))) (*.f64 x (/.f64 -1 (-.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 -1 x) -1))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 1 (pow.f64 (+.f64 -1 x) -1))
(*.f64 (pow.f64 (+.f64 -1 x) -1) 1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 x))) (/.f64 1 (sqrt.f64 (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -1)) 2) (cbrt.f64 (pow.f64 (+.f64 -1 x) -1)))
(*.f64 (/.f64 -1 (+.f64 -1 x)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 -1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 -1 x) -1)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 -1 (*.f64 -1 (fma.f64 x x x))))
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(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (pow.f64 (+.f64 -1 x) -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 x))) (/.f64 1 (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1)
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 x))) -1) (pow.f64 (sqrt.f64 (-.f64 -1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (neg.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (-.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x)))))
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (neg.f64 (fma.f64 x x x)))
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (neg.f64 (fma.f64 x x x))) -1)
(fma.f64 -1 (pow.f64 x 3) (-.f64 -1 (fma.f64 x x x)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x))) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 -1 (*.f64 -1/2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2))) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) 1) (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) x))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) x) (*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)))
(/.f64 (+.f64 -1 (neg.f64 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 -1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) 1))
(/.f64 (+.f64 -1 (neg.f64 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 -1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) x))
(/.f64 (+.f64 -1 (neg.f64 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 -1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 1 (/.f64 -1 (-.f64 1 (*.f64 x x)))) (*.f64 x (/.f64 -1 (-.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 x (/.f64 -1 (-.f64 1 (*.f64 x x)))) (*.f64 1 (/.f64 -1 (-.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
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(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2))
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))

localize4.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
0.0ms
x
@inf
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
0.0ms
x
@-inf
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))

rewrite56.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1726×add-sqr-sqrt
1706×*-un-lft-identity
1580×add-cube-cbrt
1566×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
119923
2222123
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (atan.f64 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))))))

simplify51.0ms (0.7%)

Algorithm
egg-herbie
Rules
952×distribute-lft-in
944×associate-*r/
872×distribute-rgt-in
680×*-commutative
644×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042575
194575
2284575
31942575
45790575
Stop Event
node limit
Counts
25 → 16
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))))) 1)
(pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 2))
(log.f64 (pow.f64 (exp.f64 2) (atan.f64 (*.f64 1/2 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))
(exp.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))
Outputs
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))))) 1)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 1)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 2)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(pow.f64 (cbrt.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 3)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(pow.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 3) 1/3)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 2))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(log.f64 (pow.f64 (exp.f64 2) (atan.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(cbrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x)))) 3))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(exp.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))) 1))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0b
(atan.f64 (-.f64 1 x))
0.0b
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
Compiler

Compiled 35 to 29 computations (17.1% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
0.0ms
x
@-inf
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@inf
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
0.0ms
x
@inf
(+.f64 1 (atan.f64 (-.f64 1 x)))

rewrite101.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1158×associate-*r/
898×associate-*l/
766×*-commutative
660×distribute-lft-in
618×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0940
120128
2277828
Stop Event
node limit
Counts
2 → 165
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 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simplify116.0ms (1.5%)

Algorithm
egg-herbie
Rules
1046×associate-+l-
1006×associate-+r-
1004×associate--r+
872×+-commutative
654×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041010199
111679761
251529761
Stop Event
node limit
Counts
181 → 257
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (+.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) (-.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1)) (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1)) (+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (*.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 3)) (*.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) 1) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 3)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 1))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(atan.f64 (-.f64 1 x))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(atan.f64 (-.f64 1 x))
(+.f64 0 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(atan.f64 (-.f64 1 x))
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(atan.f64 (-.f64 1 x))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) -1))
(+.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) -1))
(+.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))
(atan.f64 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (-.f64 0 (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (-.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (neg.f64 (atan.f64 (-.f64 1 x))))
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 1))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(fabs.f64 (+.f64 1 (atan.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x))))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)
0.0b
(+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))
0.0b
(atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1))
5.2b
(-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
Compiler

Compiled 79 to 52 computations (34.2% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
0.0ms
x
@0
(-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
0.0ms
x
@0
(atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1))
0.0ms
x
@inf
(atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1))
0.0ms
x
@-inf
(+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))

rewrite116.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1854×associate-*l/
576×associate-/r*
548×associate-+l+
476×associate-+r+
396×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013118
1298102
24234100
Stop Event
node limit
Counts
4 → 307
Calls
Call 1
Inputs
(-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x)))
(atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1))
(+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))
(+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)
Outputs
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simplify192.0ms (2.5%)

Algorithm
egg-herbie
Rules
814×associate-/l*
764×fma-def
650×times-frac
646×+-commutative
620×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075317225
1208815551
Stop Event
node limit
Counts
355 → 441
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(+.f64 1 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (neg.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (neg.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (neg.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (+.f64 1 x))))
(+.f64 1 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 -1 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 -1 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 -1 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 -1 (+.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 -1 (+.f64 1 x))))
(+.f64 1 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 1 (-.f64 (neg.f64 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1))
(+.f64 1 (-.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 x)))
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(-.f64 (/.f64 1 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))) (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 2) (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))) 1))
(-.f64 (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 2) (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 3) (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 2) (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))) 1))
(-.f64 (/.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (/.f64 -1 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
(-.f64 (+.f64 1 (-.f64 0 x)) (*.f64 x (*.f64 x -1/2)))
(-.f64 (+.f64 1 (-.f64 0 (*.f64 x (*.f64 x -1/2)))) x)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 2) (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 2) (+.f64 x 2)) (*.f64 x (*.f64 x -1/2))))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 3) (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) 2) (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))))
(-.f64 (+.f64 2 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (+.f64 x 2))
(-.f64 (-.f64 2 x) (fma.f64 x (*.f64 x -1/2) 1))
(-.f64 (-.f64 2 (+.f64 1 x)) (*.f64 x (*.f64 x -1/2)))
(-.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) 1)) x)
(-.f64 (-.f64 2 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)) x)
(-.f64 (-.f64 (+.f64 2 (*.f64 1/2 (*.f64 x x))) 1) x)
(*.f64 1 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 2) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(*.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (/.f64 -1 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) (/.f64 1 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 1 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3))))
(/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3)) (+.f64 1 (+.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1)) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) 1) (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) 1) (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) 1) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))) 1) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 3)) 1) (+.f64 1 (+.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1)) 1) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3))) 1) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)))) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 2)) (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 2)) (cbrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) 1) (/.f64 -1 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) 3) 1) (/.f64 -1 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (+.f64 (*.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) (+.f64 1 (*.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) 1) (/.f64 1 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))) (-.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3) 3)) (/.f64 1 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))) (+.f64 (*.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) (-.f64 1 (*.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3) 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) 1) (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) 2)) (neg.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (cbrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))) (cbrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) -1) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) 2))) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (+.f64 1 (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (-.f64 (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) 1) (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))) (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))) (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) 1) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2))))))
(exp.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(fma.f64 1 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
(fma.f64 (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 2) (cbrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (-.f64 -1 (*.f64 x -1/2)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
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(/.f64 (+.f64 1 (pow.f64 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 3) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 6)) (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)) (fma.f64 x (*.f64 x -1/2) x) 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) 1) (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) 2)) (neg.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (cbrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))) (cbrt.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) -1) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) 2))) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2) -1) (+.f64 1 (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (-.f64 (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 1))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) 1) (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 3)) (+.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)) (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)) (fma.f64 x (*.f64 x -1/2) x) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)))) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 3)) (+.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)) (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)) (fma.f64 x (*.f64 x -1/2) x) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))) (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))) (cbrt.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)) (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 3)) (+.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)) (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3)) (fma.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)) (fma.f64 x (*.f64 x -1/2) x) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) 1) (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x)))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) x)) 2) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 2)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 3)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 2))
(fabs.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x)) 3))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(expm1.f64 (log.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2))))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(exp.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))) 1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 1 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) (sqrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 2) (cbrt.f64 (-.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))) 1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))

eval762.0ms (9.8%)

Compiler

Compiled 29816 to 24229 computations (18.7% saved)

prune274.0ms (3.5%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New110231105
Fresh101
Picked101
Done099
Total1104121116
Error
0b
Counts
1116 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
1.1b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))))
0.7b
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
0.7b
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
0.7b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
1.1b
(*.f64 2 (atan.f64 (-.f64 1 x)))
1.1b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
61.2b
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 145 to 121 computations (16.6% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1))
5.2b
(-.f64 1 (+.f64 x 1))
Compiler

Compiled 37 to 31 computations (16.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 1 (+.f64 x 1))
0.0ms
x
@0
(-.f64 1 (+.f64 x 1))
0.0ms
x
@0
(atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1))
0.0ms
x
@inf
(atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1))
0.0ms
x
@-inf
(-.f64 1 (+.f64 x 1))

rewrite66.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1238×associate-*r/
972×associate-*l/
820×*-commutative
748×distribute-lft-in
690×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
120218
2280618
Stop Event
node limit
Counts
2 → 111
Calls
Call 1
Inputs
(-.f64 1 (+.f64 x 1))
(atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (-.f64 -1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (+.f64 x -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 0 x)) (sqrt.f64 (-.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 0 x)) (pow.f64 (cbrt.f64 (-.f64 0 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 0 x)) 2) (cbrt.f64 (-.f64 0 x)))))) (#(struct:change 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(+.f64 1 (pow.f64 (+.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) 1) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 2) 3)) (*.f64 (+.f64 x 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) 1) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 1 x) 2) 1)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 (-.f64 -1 x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 1 x) 3) 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 0 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 0 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 0 x)) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 0 x)) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (+.f64 x (*.f64 x x)) x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 1 x) 3) 1)) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) 1) 1) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) 1) 1) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) 1) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (-.f64 0 x))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (sqrt.f64 (-.f64 0 x))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (pow.f64 (cbrt.f64 (-.f64 0 x)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (pow.f64 (cbrt.f64 (-.f64 0 x)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 x 2))) (+.f64 1 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 2) 3)) (/.f64 1 (+.f64 x 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (+.f64 x 2)))) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 0 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 0 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 0 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 0 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 0 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 0 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 0 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))))

simplify111.0ms (1.4%)

Algorithm
egg-herbie
Rules
1522×associate-/l*
1090×associate-/r*
930×*-commutative
656×associate-*r/
546×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02843919
17893627
233913445
Stop Event
node limit
Counts
135 → 173
Calls
Call 1
Inputs
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 1 (-.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1))
(+.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) -1))
(+.f64 1 (-.f64 (neg.f64 x) 1))
(+.f64 1 (-.f64 (*.f64 1 (neg.f64 x)) 1))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) 1))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) 1))
(+.f64 (-.f64 0 x) 0)
(+.f64 (-.f64 1 x) -1)
(+.f64 0 (neg.f64 x))
(+.f64 (-.f64 -1 x) 1)
(+.f64 2 (+.f64 (neg.f64 x) -2))
(+.f64 2 (+.f64 (-.f64 -1 x) -1))
(+.f64 -1 (-.f64 1 x))
(+.f64 -1 (*.f64 (+.f64 x -1) -1))
(+.f64 -1 (*.f64 -1 (+.f64 x -1)))
(+.f64 (neg.f64 x) 0)
(+.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))
(*.f64 1 (-.f64 0 x))
(*.f64 x -1)
(*.f64 (-.f64 0 x) 1)
(*.f64 (sqrt.f64 (-.f64 0 x)) (sqrt.f64 (-.f64 0 x)))
(*.f64 (cbrt.f64 (-.f64 0 x)) (pow.f64 (cbrt.f64 (-.f64 0 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 x)) 2) (cbrt.f64 (-.f64 0 x)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (+.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(*.f64 -1 x)
(*.f64 (/.f64 1 (+.f64 x 2)) (-.f64 1 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) (-.f64 1 (pow.f64 (+.f64 1 x) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (-.f64 0 x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (+.f64 1 (pow.f64 (+.f64 1 x) 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 1 x) (+.f64 x 2)) (*.f64 (+.f64 1 x) (+.f64 x 2))))) (-.f64 (-.f64 0 x) (pow.f64 (+.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 x) (+.f64 x 2)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 1 x) (+.f64 x 2)) (*.f64 (+.f64 1 x) (+.f64 x 2))) (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 1 (/.f64 1 (-.f64 0 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (+.f64 x 2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))) (/.f64 (+.f64 x 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))))
(/.f64 (-.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (+.f64 x 2))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2))) (*.f64 (+.f64 x 2) (+.f64 1 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) (*.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (+.f64 1 (pow.f64 (+.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) 1) (-.f64 2 x))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 2) 3)) (*.f64 (+.f64 x 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) 1) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 2 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) (+.f64 x 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 1 x) 2) 1)) (-.f64 2 x))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (-.f64 -1 x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 1 x) 3) 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 2 x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))) (neg.f64 (+.f64 x 2)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 0 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 0 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 0 x)) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 0 x)) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 -1 (+.f64 (+.f64 x (*.f64 x x)) x)) (+.f64 x 2))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 1 x) 3) 1)) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) 1) (+.f64 x 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) 1) 1) (-.f64 2 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) 1) 1) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 2 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) 1) (neg.f64 (+.f64 x 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (-.f64 0 x))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (sqrt.f64 (-.f64 0 x))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (pow.f64 (cbrt.f64 (-.f64 0 x)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (pow.f64 (cbrt.f64 (-.f64 0 x)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 x 2))) (+.f64 1 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 2) 3)) (/.f64 1 (+.f64 x 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) 1) (+.f64 x 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (+.f64 x 2)))) (cbrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(pow.f64 (-.f64 0 x) 1)
(pow.f64 (sqrt.f64 (-.f64 0 x)) 2)
(pow.f64 (cbrt.f64 (-.f64 0 x)) 3)
(pow.f64 (pow.f64 (-.f64 0 x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 0 x) 2))
(log.f64 (exp.f64 (-.f64 0 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 0 x))))
(cbrt.f64 (pow.f64 (-.f64 0 x) 3))
(expm1.f64 (log.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 0 x)))
(log1p.f64 (expm1.f64 (-.f64 0 x)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (-.f64 -1 x))
(neg.f64 x)
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1))
(neg.f64 x)
(+.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) -1))
(neg.f64 x)
(+.f64 1 (-.f64 (neg.f64 x) 1))
(neg.f64 x)
(+.f64 1 (-.f64 (*.f64 1 (neg.f64 x)) 1))
(neg.f64 x)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) 1))
(neg.f64 x)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) 1))
(neg.f64 x)
(+.f64 (-.f64 0 x) 0)
(neg.f64 x)
(+.f64 (-.f64 1 x) -1)
(neg.f64 x)
(+.f64 0 (neg.f64 x))
(neg.f64 x)
(+.f64 (-.f64 -1 x) 1)
(neg.f64 x)
(+.f64 2 (+.f64 (neg.f64 x) -2))
(neg.f64 x)
(+.f64 2 (+.f64 (-.f64 -1 x) -1))
(neg.f64 x)
(+.f64 -1 (-.f64 1 x))
(neg.f64 x)
(+.f64 -1 (*.f64 (+.f64 x -1) -1))
(neg.f64 x)
(+.f64 -1 (*.f64 -1 (+.f64 x -1)))
(neg.f64 x)
(+.f64 (neg.f64 x) 0)
(neg.f64 x)
(+.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))
(+.f64 (-.f64 1 (*.f64 (/.f64 x (+.f64 -1 x)) x)) (/.f64 1 (+.f64 -1 x)))
(+.f64 (-.f64 1 (*.f64 x (/.f64 x (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 x)))
(*.f64 1 (-.f64 0 x))
(neg.f64 x)
(*.f64 x -1)
(neg.f64 x)
(*.f64 (-.f64 0 x) 1)
(neg.f64 x)
(*.f64 (sqrt.f64 (-.f64 0 x)) (sqrt.f64 (-.f64 0 x)))
(neg.f64 x)
(*.f64 (cbrt.f64 (-.f64 0 x)) (pow.f64 (cbrt.f64 (-.f64 0 x)) 2))
(neg.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 x)) 2) (cbrt.f64 (-.f64 0 x)))
(neg.f64 x)
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (+.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 (/.f64 1 (+.f64 x 2)) (-.f64 1 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) (-.f64 1 (pow.f64 (+.f64 1 x) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (-.f64 0 x))
(neg.f64 x)
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (+.f64 1 (pow.f64 (+.f64 1 x) 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 1 (pow.f64 (+.f64 x 1) 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 1 (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 1 (pow.f64 (+.f64 x 1) 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 1 x) (+.f64 x 2)) (*.f64 (+.f64 1 x) (+.f64 x 2))))) (-.f64 (-.f64 0 x) (pow.f64 (+.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 2) (+.f64 x 2))))) (-.f64 (neg.f64 x) (pow.f64 (+.f64 x 1) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (-.f64 -2 x) (*.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))) (-.f64 (neg.f64 x) (pow.f64 (+.f64 x 1) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 x) (+.f64 x 2)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 1 x) (+.f64 x 2)) (*.f64 (+.f64 1 x) (+.f64 x 2))) (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 x 1) (+.f64 x 2)) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (+.f64 x 1) (+.f64 x 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 x 1) (+.f64 x 2)) 3))) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (-.f64 -1 x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 -2 x)) 3))) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 (-.f64 -1 x) (*.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))
(/.f64 1 (/.f64 1 (-.f64 0 x)))
(neg.f64 x)
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (+.f64 x 2))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)))))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 2) 3)) (/.f64 1 (+.f64 x 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3)) (*.f64 (+.f64 x 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 4)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 6)) (*.f64 (+.f64 x 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 4)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 6)) (*.f64 (+.f64 x 2) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 1 (pow.f64 (+.f64 x 1) 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 6)) (*.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (+.f64 1 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 6)) (*.f64 (fma.f64 (+.f64 x 1) (+.f64 x 2) 1) (+.f64 1 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 6)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (*.f64 (fma.f64 (+.f64 x 1) (+.f64 x 2) 1) (+.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (pow.f64 (+.f64 x 1) 6))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 6))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) 1) (+.f64 x 2))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (+.f64 x 2)))) (cbrt.f64 (+.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(pow.f64 (-.f64 0 x) 1)
(neg.f64 x)
(pow.f64 (sqrt.f64 (-.f64 0 x)) 2)
(neg.f64 x)
(pow.f64 (cbrt.f64 (-.f64 0 x)) 3)
(neg.f64 x)
(pow.f64 (pow.f64 (-.f64 0 x) 3) 1/3)
(neg.f64 x)
(sqrt.f64 (pow.f64 (-.f64 0 x) 2))
(sqrt.f64 (pow.f64 (neg.f64 x) 2))
(fabs.f64 (neg.f64 x))
(log.f64 (exp.f64 (-.f64 0 x)))
(neg.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 0 x))))
(neg.f64 x)
(cbrt.f64 (pow.f64 (-.f64 0 x) 3))
(neg.f64 x)
(expm1.f64 (log.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (log.f64 (-.f64 0 x)))
(neg.f64 x)
(log1p.f64 (expm1.f64 (-.f64 0 x)))
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x)))) 1)
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(atan.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(atan.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(atan.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(fabs.f64 (atan.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x)))))
(atan.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))
0.0b
(atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
0.0b
(-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))
Compiler

Compiled 62 to 45 computations (27.4% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))
0.0ms
x
@inf
(-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))
0.0ms
x
@-inf
(-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))
0.0ms
x
@inf
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))
0.0ms
x
@inf
(atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))

rewrite99.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1828×associate-*r/
1336×associate-*l/
316×associate-+l+
310×+-commutative
306×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01379
129779
2396567
Stop Event
node limit
Counts
3 → 200
Calls
Call 1
Inputs
(-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))
(atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (neg.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (neg.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (neg.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (neg.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 -1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (*.f64 -1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 -1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 -1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 -1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (neg.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 2) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (+.f64 x 2))))))

simplify165.0ms (2.1%)

Algorithm
egg-herbie
Rules
1240×associate-+r+
1158×+-commutative
1146×associate-+l+
898×associate--r+
572×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053411480
1141410442
2520410404
Stop Event
node limit
Counts
236 → 305
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 3 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)))
(+.f64 3 (*.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) 1))
(+.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (neg.f64 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (neg.f64 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (neg.f64 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (neg.f64 (+.f64 x 2))))
(+.f64 3 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))
(+.f64 3 (-.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 x 2)))
(+.f64 3 (-.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (+.f64 x 2)))
(+.f64 3 (-.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (+.f64 x 2)))
(+.f64 3 (-.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (+.f64 x 2)))
(+.f64 3 (-.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (+.f64 x 2)))
(+.f64 3 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 x 2)))
(+.f64 3 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (+.f64 x 2)))
(+.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (neg.f64 (+.f64 x 2)))
(+.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 x 2)))
(+.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(+.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2))))
(+.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) 3)
(+.f64 (*.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) 1) 3)
(+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 (neg.f64 (+.f64 x 2)) 3))
(+.f64 (neg.f64 (+.f64 x 2)) (-.f64 3 (*.f64 x (*.f64 x -1/2))))
(+.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 x)) 1)
(+.f64 (*.f64 -1 (+.f64 x 2)) (-.f64 3 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (-.f64 3 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2))) (-.f64 3 (*.f64 x (*.f64 x -1/2))))
(+.f64 (+.f64 3 (neg.f64 (+.f64 x 2))) (neg.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (+.f64 3 (neg.f64 (fma.f64 (*.f64 x x) -1/2 x))) -2)
(+.f64 (-.f64 3 (exp.f64 (log1p.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))) 1)
(+.f64 (-.f64 3 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))) (/.f64 (pow.f64 (+.f64 x 2) 2) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
(+.f64 (-.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (exp.f64 (log.f64 (+.f64 3 x)))) 1)
(+.f64 (-.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x x) (+.f64 x -2))) (/.f64 4 (+.f64 x -2)))
(+.f64 (-.f64 (-.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))) 1)
(+.f64 (-.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) 2)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x)) 1)
(*.f64 1 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x)))
(*.f64 (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x))))
(*.f64 (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x))) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x))) 2) (cbrt.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 x))))
(*.f64 (-.f64 9 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 2)) (/.f64 1 (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5)))
(*.f64 (-.f64 27 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3)) (/.f64 1 (+.f64 9 (*.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5) (-.f64 9 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 2))))
(/.f64 1 (/.f64 (+.f64 9 (*.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5))) (-.f64 27 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3))))
(/.f64 (-.f64 9 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 2)) (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5))
(/.f64 (-.f64 27 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3)) (+.f64 9 (*.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5))))
(/.f64 (-.f64 9 (*.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)))) (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5))
(/.f64 (-.f64 (*.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (-.f64 3 (*.f64 x (*.f64 x -1/2)))) (pow.f64 (+.f64 x 2) 2)) (+.f64 (+.f64 x 2) (-.f64 3 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (+.f64 27 (pow.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) 3)) (+.f64 9 (-.f64 (*.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x))) (*.f64 3 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) 3) (pow.f64 (+.f64 x 2) 3)) (+.f64 (*.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (-.f64 3 (*.f64 x (*.f64 x -1/2)))) (+.f64 (pow.f64 (+.f64 x 2) 2) (*.f64 (-.f64 3 (*.f64 x (*.f64 x -1/2))) (+.f64 x 2)))))
(/.f64 (neg.f64 (-.f64 9 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 2))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5)))
(/.f64 (neg.f64 (-.f64 27 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3))) (neg.f64 (+.f64 9 (*.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) (+.f64 (fma.f64 (*.f64 x x) -1/2 x) 5)))))
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(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) 1) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 x) (fma.f64 (*.f64 x x) -1/2 x)) 4) 1) (-.f64 (fma.f64 (*.f64 x x) -1/2 x) 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (fma.f64 (*.f64 x x) -1/2 x) 3)) 1) (+.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 x) (fma.f64 (*.f64 x x) -1/2 x)) (-.f64 4 (*.f64 (fma.f64 (*.f64 x x) -1/2 x) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3))) (sqrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2))) (sqrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 2)) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (*.f64 (pow.f64 (+.f64 x 2) 2) (pow.f64 (+.f64 x 2) 2))) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))) (+.f64 (pow.f64 (+.f64 x 2) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) 3) (pow.f64 (pow.f64 (+.f64 x 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 x 2) 2) (pow.f64 (+.f64 x 2) 2)) (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2))))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) 3) (pow.f64 (pow.f64 (+.f64 x 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (-.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3)))))
(pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(exp.f64 (log.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(fma.f64 x (*.f64 x -1/2) (+.f64 x 2))
(fma.f64 (*.f64 x -1/2) x (+.f64 x 2))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))
(fma.f64 1 (+.f64 x 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (+.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 x 2))
(fma.f64 (*.f64 x x) -1/2 (+.f64 x 2))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(+.f64 3 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (*.f64 (-.f64 -2 (fma.f64 (*.f64 x x) -1/2 x)) 1))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (neg.f64 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (neg.f64 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (neg.f64 (+.f64 x 2))))
(+.f64 3 (fma.f64 (*.f64 x (neg.f64 (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (+.f64 (neg.f64 x) -2)))
(+.f64 (*.f64 x (*.f64 (sqrt.f64 -1/2) (*.f64 (neg.f64 x) (sqrt.f64 -1/2)))) (-.f64 1 x))
(-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (neg.f64 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 -1 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (*.f64 -1 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 -1 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 -1 (+.f64 x 2))))
(+.f64 3 (fma.f64 (*.f64 x (neg.f64 (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (+.f64 (neg.f64 x) -2)))
(+.f64 (*.f64 x (*.f64 (sqrt.f64 -1/2) (*.f64 (neg.f64 x) (sqrt.f64 -1/2)))) (-.f64 1 x))
(-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 -1 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) (*.f64 -1 (+.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 3 (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 3 (fma.f64 (*.f64 x (neg.f64 (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (+.f64 (neg.f64 x) -2)))
(+.f64 (*.f64 x (*.f64 (sqrt.f64 -1/2) (*.f64 (neg.f64 x) (sqrt.f64 -1/2)))) (-.f64 1 x))
(-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2))))
(+.f64 3 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2))) (sqrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
(/.f64 (sqrt.f64 (+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -2 x)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (+.f64 x 2) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (+.f64 x (-.f64 2 (*.f64 x (*.f64 x -1/2))))))) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (+.f64 x 2) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))) 2) (cbrt.f64 (fma.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 -1/2 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/4)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (+.f64 x 2) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 2)) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (+.f64 x 2) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -2 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (*.f64 (pow.f64 (+.f64 x 2) 2) (pow.f64 (+.f64 x 2) 2))) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))) (+.f64 (pow.f64 (+.f64 x 2) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 4) (pow.f64 (+.f64 x 2) 4)) (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 4) (pow.f64 (+.f64 x 2) 4)) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (+.f64 x 2) 2)) (fma.f64 x (*.f64 x -1/2) (-.f64 -2 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) 3) (pow.f64 (pow.f64 (+.f64 x 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 x 2) 2) (pow.f64 (+.f64 x 2) 2)) (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))) (-.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) 3) (pow.f64 (pow.f64 (+.f64 x 2) 2) 3))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 4) (*.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x 2) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (+.f64 x 2) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 4) (fma.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (+.f64 x 2) 2) (pow.f64 (+.f64 x 2) 4))) (fma.f64 x (*.f64 x -1/2) (-.f64 -2 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2))))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (pow.f64 (+.f64 x 2) 6)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (+.f64 x (-.f64 2 (*.f64 x (*.f64 x -1/2)))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/64) (pow.f64 (+.f64 x 2) 6)) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 (+.f64 x 2) 3)) (fma.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 -1/2 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) 3) (pow.f64 (pow.f64 (+.f64 x 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/2))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (-.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (+.f64 x 2) 3)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x x) 3) 3) -1/512) (pow.f64 (pow.f64 (+.f64 x 2) 3) 3)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (-.f64 (pow.f64 (+.f64 x 2) 6) (*.f64 (pow.f64 (+.f64 x 2) 3) (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (+.f64 x 2) (+.f64 x (-.f64 2 (*.f64 x (*.f64 x -1/2)))))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -1/512 (pow.f64 (pow.f64 (+.f64 x 2) 3) 3)) (*.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 6) 1/64 (pow.f64 (+.f64 x 2) 6)) (*.f64 (pow.f64 (+.f64 x 2) 3) (*.f64 (pow.f64 x 6) 1/8))) (fma.f64 (+.f64 x 2) (-.f64 (+.f64 x 2) (*.f64 -1/2 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/4))))
(pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 1)
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 2)
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 3)
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(pow.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3) 1/3)
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 -1/2 (*.f64 x x) x)) 2))
(fabs.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 x 2)))
(log.f64 (exp.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x)) 3))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(exp.f64 (log.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))) 1))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 (*.f64 x x) -1/2 x))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 x (*.f64 x -1/2) (+.f64 x 2))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 (*.f64 x -1/2) x (+.f64 x 2))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 1 (+.f64 x 2) (*.f64 x (*.f64 x -1/2)))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (+.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) (*.f64 x (*.f64 x -1/2)))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 x 2))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 (*.f64 x x) -1/2 (+.f64 x 2))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 2))

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1))
0.0b
(-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
Compiler

Compiled 66 to 47 computations (28.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
0.0ms
x
@-inf
(-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
0.0ms
x
@inf
(-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
0.0ms
x
@-inf
(atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1))
0.0ms
x
@0
(atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1))

rewrite103.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1608×associate-*r/
1346×associate-*l/
444×associate-+l+
382×associate-/r*
316×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01366
129058
2385246
Stop Event
node limit
Counts
2 → 120
Calls
Call 1
Inputs
(-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)
(atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (neg.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (neg.f64 x) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (*.f64 -1 x) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (fma.f64 x 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simplify100.0ms (1.3%)

Algorithm
egg-herbie
Rules
900×associate-/l*
746×unswap-sqr
712×*-commutative
568×associate-+r+
520×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03216356
18546014
229166002
Stop Event
node limit
Counts
144 → 172
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 2 (+.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) -1))
(+.f64 2 (neg.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))
(+.f64 2 (+.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1) -1))
(+.f64 2 (-.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1) 1))
(+.f64 2 (-.f64 (neg.f64 x) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 2 (-.f64 (*.f64 -1 x) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 2 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 2 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) -1)
(+.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)))
(+.f64 1 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1))
(+.f64 (-.f64 2 x) (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) -1))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) -1))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) -1))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) -1))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) -1))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) -1))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) -1))
(+.f64 (-.f64 2 x) (-.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) 1))
(+.f64 (-.f64 2 x) (-.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) 1))
(+.f64 (-.f64 2 x) (-.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) 1))
(+.f64 (-.f64 2 x) (-.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) 1))
(+.f64 (-.f64 2 x) (-.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))) 1))
(+.f64 (-.f64 2 x) (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) 1))
(+.f64 (-.f64 2 x) (-.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/2) 1))
(+.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1)
(+.f64 -1 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)))
(+.f64 (+.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) -1) 2)
(+.f64 (neg.f64 x) (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) 1))
(+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 (neg.f64 x) 1))
(+.f64 (neg.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)) 2)
(+.f64 (+.f64 -1 (-.f64 2 x)) (neg.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (+.f64 -1 (-.f64 2 x)) (*.f64 (neg.f64 x) (*.f64 x -1/2)))
(+.f64 (+.f64 -1 (-.f64 2 x)) (*.f64 (neg.f64 (*.f64 x -1/2)) x))
(+.f64 (+.f64 -1 (-.f64 2 x)) (*.f64 -1 (*.f64 x (*.f64 x -1/2))))
(+.f64 (+.f64 -1 (-.f64 2 x)) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(+.f64 (+.f64 -1 (-.f64 2 x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))
(+.f64 (+.f64 -1 (-.f64 2 x)) (*.f64 (neg.f64 (*.f64 x x)) -1/2))
(+.f64 (-.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)) 1)
(+.f64 (-.f64 1 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x -1/2))))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 1 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(*.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2) (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(*.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1) (/.f64 1 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)))) (-.f64 (sqrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) 1))
(/.f64 1 (/.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))) (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3))))
(/.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(/.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 1 (*.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) -1))))
(/.f64 (-.f64 4 (*.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1))) (+.f64 3 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (-.f64 8 (pow.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) 3)) (+.f64 4 (+.f64 (*.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)) (*.f64 2 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1)) (neg.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (*.f64 1 (-.f64 4 (*.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))) (+.f64 3 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (*.f64 1 (-.f64 8 (pow.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) 3))) (+.f64 4 (+.f64 (*.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)) (*.f64 2 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1))) (neg.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1))) (sqrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) (sqrt.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1))) (cbrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1) 1) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 1 (*.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) -1))))
(/.f64 (*.f64 (-.f64 4 (*.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1))) 1) (+.f64 3 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (*.f64 (-.f64 8 (pow.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) 3)) 1) (+.f64 4 (+.f64 (*.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1) (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)) (*.f64 2 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1)) 1) (neg.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1)) (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) (sqrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3))) (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1)) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2)) (cbrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2)) 1) (/.f64 1 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))) (+.f64 1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) 3) 1) (/.f64 1 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2)) (+.f64 1 (*.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3) (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))) (+.f64 1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3) (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (+.f64 1 (*.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3) 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1) 1) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1) (sqrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))) (sqrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) -1) (*.f64 (cbrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))) (cbrt.f64 (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))))
(exp.f64 (log.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(fma.f64 1 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) -1)
(fma.f64 (sqrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) (sqrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) 2) (cbrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))) 1)
(*.f64 1 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(*.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) (sqrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 2) (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(+.f64 2 (+.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) -1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 2 (neg.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 2 (+.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1) -1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 2 (-.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1) 1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 2 (-.f64 (neg.f64 x) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 2 (-.f64 (*.f64 -1 x) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 2 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 2 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (+.f64 (*.f64 x (*.f64 x -1/2)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) -1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 1 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) x)) 1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 (-.f64 2 x) (+.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) -1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 (neg.f64 x) (*.f64 x -1/2)) -1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 (neg.f64 (*.f64 x -1/2)) x) -1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 (-.f64 2 x) (+.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) -1))
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(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 3)) (+.f64 (pow.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) 2) (-.f64 3 (fma.f64 x (*.f64 x -1/2) x))))
(pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 3)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(sqrt.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 2))
(fabs.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(log.f64 (exp.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 3))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(expm1.f64 (log.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))))
(exp.f64 (log.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 1))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 1 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x)) -1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (sqrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) (sqrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) -1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) 2) (cbrt.f64 (-.f64 2 (fma.f64 x (*.f64 x -1/2) x))) -1)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))) 1)
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 1 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 1)
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) (sqrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 2))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 2) (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 1)
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 2)
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 3)
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 3) 1/3)
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 2))
(fabs.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x))) 3))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))) 1))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))

eval482.0ms (6.2%)

Compiler

Compiled 16532 to 12673 computations (23.3% saved)

prune145.0ms (1.9%)

Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New6491650
Fresh000
Picked011
Done01111
Total64913662
Error
0b
Counts
662 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
1.1b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))))
0.7b
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
0.7b
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
1.1b
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
0.7b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
1.1b
(*.f64 2 (atan.f64 (-.f64 1 x)))
1.1b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
61.2b
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 154 to 129 computations (16.2% saved)

regimes27.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))))
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
(*.f64 2 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))))
Calls

5 calls:

8.0ms
x
4.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 242 to 197 computations (18.6% saved)

regimes24.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
Calls

5 calls:

7.0ms
x
4.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 194 to 156 computations (19.6% saved)

regimes59.0ms (0.8%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Calls

5 calls:

39.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
8.0ms
x
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 181 to 145 computations (19.9% saved)

regimes10.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 1 x))) 1)))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
Outputs
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 131 to 105 computations (19.8% saved)

regimes38.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
Outputs
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 89 to 73 computations (18% saved)

regimes9.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 2)))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 75 to 62 computations (17.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
Outputs
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
Compiler

Compiled 49 to 42 computations (14.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -60.2b remaining (-5441.5%)

Threshold costs -60.2b (-5441.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 3 (+.f64 x 2))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify51.0ms (0.7%)

Algorithm
egg-herbie
Rules
92×*-commutative
90×distribute-lft-neg-in
70×+-commutative
42×distribute-rgt-neg-in
42×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057297
197297
2134297
3167297
4207297
5231297
6249297
7268297
8293297
9316297
10328297
11332297
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 -1 x))))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) 1)))
(*.f64 2 (atan.f64 (+.f64 (-.f64 2 (+.f64 x (*.f64 x (*.f64 x -1/2)))) -1)))
(*.f64 2 (atan.f64 (+.f64 -1 (-.f64 2 (-.f64 x (*.f64 x (*.f64 x 1/2)))))))
(*.f64 2 (atan.f64 (+.f64 -1 (+.f64 2 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 (+.f64 x 1)) 1)))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 1 (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (+.f64 1 (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 110 to 92 computations (16.4% saved)

soundness163.0ms (2.1%)

Algorithm
egg-herbie
Rules
1548×associate-*r/
1304×associate-*l/
980×associate-+r+
862×+-commutative
674×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04177007
111026459
241936249
063111831
1173511187
2667111139
Stop Event
node limit
node limit
Compiler

Compiled 58 to 50 computations (13.8% saved)

end90.0ms (1.2%)

Compiler

Compiled 102 to 84 computations (17.6% saved)

Profiling

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